The adaptive Crouzeix-Raviart element method for convection-diffusion eigenvalue problems
Numerical Analysis
2016-06-13 v1
Abstract
The convection-diffusion eigenvalue problems are hot topics, and computational mathematics community and physics community are concerned about them in recent years. In this paper, we consider the a posteriori error analysis and the adaptive algorithm of the Crouzeix-Raviart nonconforming element method for the convection-diffusion eigenvalue problems. We give the corresponding a posteriori error estimators, and prove their reliability and efficiency. Finally, the numerical results validate the theoretical analysis and show that the algorithm presented in this paper is efficient.
Cite
@article{arxiv.1606.03171,
title = {The adaptive Crouzeix-Raviart element method for convection-diffusion eigenvalue problems},
author = {Yingyu Du and Qinghua Chen},
journal= {arXiv preprint arXiv:1606.03171},
year = {2016}
}